The Lagrange-mesh method is an approximate variational method taking the form of equations on a grid because of the use of a Gauss quadrature approximation. With a basis of Lagrange functions involving associated Laguerre polynomials related to the Gauss quadrature, the method is applied to the Dirac equation. The potential may possess a 1/r singularity. For hydrogenic atoms, numerically exact energies and wave functions are obtained with small numbers n+1 of mesh points, where n is the principal quantum number. Numerically exact mean values of powers -2 to 3 of the radial coordinate r can also be obtained with n+2 mesh points. For the Yukawa potential, a 15-digit agreement with benchmark energies of the literature is obtained with 50 or fewer mesh points.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.89.043305 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
What are family caregivers' experiences of coordinating end-of-life care at home? A narrative review.
Palliat Support Care
January 2025
School of Nursing and Midwifery, University of Plymouth, Plymouth, UK.
Objectives: People with life-limiting diseases, who are no longer receiving active or curable treatment, often state their preferred place of care and death as the home. This requires coordinating a multidisciplinary approach, using available health and social care services to synchronize care. Family caregivers are key to enabling home-based end-of-life support; however, the 2 elements that facilitate success - coordination and family caregiver - are not necessarily associated as being intertwined or one and the same.
View Article and Find Full Text PDFImpact of 3D Endovision System on Learning Process of Laparoscopic Transabdominal Preperitoneal Repair of Groin Hernia.
J Laparoendosc Adv Surg Tech A
January 2025
Department of Surgical Disciplines, All India Institute of Medical Sciences, New Delhi, India.
Laparo-endoscopic hernia surgery is recommended by various international bodies. However, its uptake by general surgeon is low. We aim to assess the impact of Three Dimensional (3D) endovision system in learning laparoscopic transabdominal preperitoneal (TAPP) repair of groin hernia and transferability of skills acquired from 3D to the Two Dimensional (2D) environment.
View Article and Find Full Text PDFThe role of community pharmacists in point-of-care testing and treatment for influenza and Group A Streptococcus -a narrative review using Ecological Systems Theory.
Res Social Adm Pharm
January 2025
University of Iowa College of Pharmacy 342 CPB, Iowa City, IA, 52242, USA. Electronic address:
Background: Point-of-care testing (POCT) is a valuable diagnostic approach for identifying pathogens such as Group A Streptococcus (GAS) and influenza. Early detection through POCT allows for timely initiation of appropriate treatments improving public health outcomes and minimizing antibiotic misuse. Community pharmacists are well positioned to offer POCT and treatment, but they face significant system level barriers to widespread implementation and reach.
View Article and Find Full Text PDFFacile preparation of marine carrageenan hydrogel-coated steel mesh with superhydrophilic and underwater superoleophobic performance for highly efficient oil-water separation.
Water Environ Res
January 2025
Zhejiang Key Laboratory of Petrochemical Environmental Pollution Control, Zhejiang Ocean University, Zhoushan, P. R. China.
The discharge of oil-laden wastewater from industrial processes and the frequent occurrence of oil spills pose severe threats to the ecological environment and human health. Membrane materials with special wettability have garnered attention for their ability to achieve efficient oil-water separation by leveraging the differences in wettability at the oil-water interface. These materials are characterized by their simplicity, energy efficiency, environmental friendliness, and reusability.
View Article and Find Full Text PDFLevel of Satisfaction Among Patients Using Insulin Administered by Pen vs Vial/Syringe. An Observational Prospective Study.
Patient Prefer Adherence
January 2025
Grupo de Investigación en Farmacoepidemiología y Farmacovigilancia, Universidad Tecnológica de Pereira-Audifarma S.A, Pereira, Risaralda, Colombia.
Purpose: To determine the satisfaction of patients with diabetes mellitus who used subcutaneous insulin application devices in Colombia.
Patients And Methods: An observational prospective study of patients with diabetes mellitus receiving insulin treatment in Colombia. Sociodemographic, comorbidity and pharmacological data were taken from a drug dispensing database.
Want AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!